10.45 is what percent of 17.86 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 17.86 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 17.86, so we can write it down as 100%=17.86.
4. We know, that x% equals 10.45 of the output value, so we can write it down as x%=10.45.
5. Now we have two simple equations:
1) 100%=17.86
2) x%=10.45
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=17.86/10.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.45 is what percent of 17.86

100%/x%=17.86/10.45
(100/x)*x=(17.86/10.45)*x       - we multiply both sides of the equation by x
100=1.7090909090909*x       - we divide both sides of the equation by (1.7090909090909) to get x
100/1.7090909090909=x
58.510638297872=x
x=58.510638297872

now we have:
10.45 is 58.510638297872% of 17.86